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Some Contributions of Congruence Relations on Lattice of Fuzzy ℓ-ideals
Applied Mathematics & Information Sciences, 2017 The main objective of this paper is to introduce the congruence relations on the set of all fuzzy ℓ - ideals of ℓ-group. Let F be the set of all fuzzy ℓ-ideals defined on the lattice ordered group G.
P. Bharathi +3 more
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Ideals and congruence relations in lattices [PDF]
Acta Mathematica Academiae Scientiarum Hungaricae, 1958 Grätzer, G., Schmidt, E. T.
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Congruence relations, filters, ideals, and definability in lattices of α-recursively enumerable sets
The Journal of Symbolic Logic, 1976Throughout this paper, α will denote an admissible ordinal. Let (α) denote the lattice of α-r.e. sets, i.e., the lattice whose elements are the α-r.e. sets, and whose ordering is given by set inclusion. Call a set A ∈ (α)α*-finite if it is α-finite and has ordertype < α* (the Σ1-projectum of α). The α*-finite sets form an ideal of (α), and factoring
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Triangular norm decompositions through methods using congruence relations
International Journal of General Systems, 2022Funda Karaçal
exaly